Momentum-based symbol flipping decoding algorithms for non-binary LDPC codes

Z Zhao, X Jiao, J Mu, H Han… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This paper investigates the application of gradient descent with momentum in symbol
flipping decoding algorithms based on prediction (SFDP) for non-binary low-density parity …

A spectral-efficient transmission scheme for dimmable visible light communication systems

S Zhao, X Ma - Journal of Lightwave Technology, 2017 - opg.optica.org
Dimming control is of vital importance for visible light communication (VLC) systems.
Conventional dimmable transmission schemes based on compensation are spectrally …

[PDF][PDF] Nonbinary LDPC cycle codes: efficient search, design, and code optimization.

H Xu, C Chen, M Zhu, B Bai, B Zhang - Sci. China Inf. Sci., 2018 - scis.scichina.com
Theorem 1. Let G1 (V, C) and G2 (V, C) be two bipartite graphs with the same disjoint vertex
sets V and C, and corresponding biadjacency matrices A1 and A2, respectively. If A2 is …

Girth-Based Sequential-Recovery LRCs

Z Jing, HY Song - IEEE Access, 2022 - ieeexplore.ieee.org
In this paper, we prove that a linear block code with girth is a-sequential-recovery locally
repairable codes (LRCs) with locality if its parity-check matrix has column weight at least 2 …

Construction of protograph-based LDPC codes with chordless short cycles

F Amirzade, MR Sadeghi… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
There is a concept in graph theory known as a chord which has not been considered before
in relation to trapping sets of Tanner graphs. A chord of a cycle is an edge outside the cycle …

Extended construction of array‐based non‐binary LDPC codes

S Zhao, X Ma - Electronics Letters, 2019 - Wiley Online Library
Array‐based non‐binary (NB) low‐density parity‐check (LDPC) codes are attractive in
practice for their advantages in implementation and performance. However, existing …

QC-LDPC Codes from Difference Matrices and Difference Covering Arrays

DM Donovan, A Rao, E Üsküplü, EŞ Yazici - IEEE Access, 2023 - ieeexplore.ieee.org
We give a framework that generalizes LDPC code constructions using transversal designs
or related structures such as mutually orthogonal Latin squares. Our constructions offer a …

Construction of short-block nonbinary LDPC codes based on cyclic codes

H Xu, B Bai, M Zhu, B Zhang… - China Communications, 2017 - ieeexplore.ieee.org
In this paper, we focus on short-block nonbinary LDPC (NB-LDPC) codes based on cyclic
codes. Based on Tanner graphs' isomorphism, we present an efficient search algorithm for …

Two classes of QC-LDPC cycle codes approaching Gallager lower bound

H Xu, H Li, M Xu, D Feng, H Zhu - Science China. Information …, 2019 - search.proquest.com
Dear editor, Many research results show that, for equivalent bit length, short nonbinary
LDPC codes outperform binary LDPC codes by about 1 dB [1–3]. Moreover, nonbinary …